2 papers
math-ph2026
Solving the tetrahedron equation by Teichmüller TQFT
Myungbo Shim, Xiaoyue Sun, Hao Ellery Wang +1
We propose an approach to construct three-dimensional lattice models using line defects in state integral models on shaped triangulations of 3-manifolds. The Boltzmann weights for…
math.QA2024
Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
Rei Inoue, Atsuo Kuniba, Xiaoyue Sun +2
We construct a new solution to the tetrahedron equation by further pursuing the quantum cluster algebra approach in our previous works. The key ingredients include a symmetric butt…